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Finding the Fourth Proportional to 54,893.14, 75,751.77 and 31,019.38

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Solution

The fourth proportional to 54,893.14, 75,751.77 and 31,019.38 is: 42,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,893.14 : 75,751.77 = 31,019.38 : x
  2. Step 2: Convert to fraction form
    54,893.14/75,751.77 = 31,019.38/x
  3. Step 3: Cross multiply
    54,893.14x = 75,751.77 × 31,019.38
  4. Step 4: Simplify right side
    54,893.14x = 2,349,772,939.30
  5. Step 5: Solve for x
    x = 2,349,772,939.30/54,893.14
  6. Step 6: Final answer
    x = 42,806.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.